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Simple Integral

  1. Oct 3, 2009 #1
    Hey, not really homework but I am just having a total mind blank and would be grateful if someone could help me.
    [tex]\int\left(\frac{dx}{dt}\right)^{2}dt=?[/tex]
    I even have the answer my brain is just refusing to play along though and I just can't picture how to work it out properly at the moment.
    Thanks!
     
  2. jcsd
  3. Oct 3, 2009 #2

    rock.freak667

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    Homework Helper

    try writing it as

    [tex]\int \frac{dx}{dt} \frac{dx}{dt} dt[/tex]


    instead.
     
  4. Oct 3, 2009 #3
    Thanks for your reply.
    In that case I don't have brain freeze I just don't know. I just want to cancel the dt's but then
    I get
    [tex]\int \frac{dx}{dt}dx[/tex]
    which I don't know how to handle.
     
  5. Oct 3, 2009 #4

    Dick

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    Science Advisor
    Homework Helper

    It's not the sort of an expression where you can eliminate the t dependence. The answer depends on how x depends on t. E.g. if x(t)=t^2, then it's an easy elementary integral, if x(t)=e^(t^2), it's not an elementary integral.
     
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